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30025632 = 2537213491
BaseRepresentation
bin111001010001…
…0011110100000
32002111110102110
41302202132200
530141310012
62551315320
7513133200
oct162423640
962443373
1030025632
1115a4877a
12a07bb40
1362b3860
143db8400
15298173c
hex1ca27a0

30025632 has 144 divisors (see below), whose sum is σ = 98939232. Its totient is φ = 7902720.

The previous prime is 30025607. The next prime is 30025657. The reversal of 30025632 is 23652003.

It is an interprime number because it is at equal distance from previous prime (30025607) and next prime (30025657).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 30025599 and 30025608.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60907 + ... + 61397.

It is an arithmetic number, because the mean of its divisors is an integer number (687078).

Almost surely, 230025632 is an apocalyptic number.

30025632 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30025632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49469616).

30025632 is an abundant number, since it is smaller than the sum of its proper divisors (68913600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

30025632 is a wasteful number, since it uses less digits than its factorization.

30025632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 30025632 is about 5479.5649462343. The cubic root of 30025632 is about 310.8117193860.

Adding to 30025632 its reverse (23652003), we get a palindrome (53677635).

The spelling of 30025632 in words is "thirty million, twenty-five thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 49 52 56 78 84 91 96 98 104 112 147 156 168 182 196 208 224 273 294 312 336 364 392 416 491 546 588 624 637 672 728 784 982 1092 1176 1248 1274 1456 1473 1568 1911 1964 2184 2352 2548 2912 2946 3437 3822 3928 4368 4704 5096 5892 6383 6874 7644 7856 8736 10192 10311 11784 12766 13748 15288 15712 19149 20384 20622 23568 24059 25532 27496 30576 38298 41244 44681 47136 48118 51064 54992 61152 72177 76596 82488 89362 96236 102128 109984 134043 144354 153192 164976 178724 192472 204256 268086 288708 306384 312767 329952 357448 384944 536172 577416 612768 625534 714896 769888 938301 1072344 1154832 1251068 1429792 1876602 2144688 2309664 2502136 3753204 4289376 5004272 7506408 10008544 15012816 30025632